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standard deviation of 9. Random...

Suppose x has a distribution with a mean of 80 and a standard deviation of 9. Random samples of size n = 36 are drawn.

(a) Describe the x bar distribution.

x bar has a normal distribution.

x bar has a binomial distribution.

x bar has a Poisson distribution.

x bar has an unknown distribution.

x bar has a geometric distribution.

x bar has an approximately normal distribution.

Compute the mean and standard deviation of the distribution. (For each answer, enter a number.)mu sub x bar = mu sub x bar =sigma sub x bar = sigma sub x bar =(b) Find the z value corresponding to x bar = 77. (Enter an exact number.)

z =(c) Find P(x bar < 77). (Enter a number. Round your answer to four decimal places.)

P(x bar < 77) = P(x bar < 77)(d) Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 77? Explain.

Yes, it would be unusual because more than 5% of all such samples have means less than 77.

No, it would not be unusual because less than 5% of all such samples have means less than 77.

No, it would not be unusual because more than 5% of all such samples have means less than 77.

Yes, it would be unusual because less than 5% of all such samples have means less than 77.

(a) Describe the x bar distribution.

x bar has a normal distribution.

x bar has a binomial distribution.

x bar has a Poisson distribution.

x bar has an unknown distribution.

x bar has a geometric distribution.

x bar has an approximately normal distribution.

Compute the mean and standard deviation of the distribution. (For each answer, enter a number.)mu sub x bar = mu sub x bar =sigma sub x bar = sigma sub x bar =(b) Find the z value corresponding to x bar = 77. (Enter an exact number.)

z =(c) Find P(x bar < 77). (Enter a number. Round your answer to four decimal places.)

P(x bar < 77) = P(x bar < 77)(d) Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 77? Explain.

Yes, it would be unusual because more than 5% of all such samples have means less than 77.

No, it would not be unusual because less than 5% of all such samples have means less than 77.

No, it would not be unusual because more than 5% of all such samples have means less than 77.

Yes, it would be unusual because less than 5% of all such samples have means less than 77.

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